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40431244000200 = 23352173963847451
BaseRepresentation
bin10010011000101101000011…
…11011111011101111001000
312022011012002220121001010220
421030112201323323233020
520244411141431001300
6221553505043510040
711342026626420234
oct1114264173735710
9168135086531126
1040431244000200
111197888121a239
12464ba19988320
13197385ac29891
149dac4ddcb5c4
154a1a9956bda0
hex24c5a1efbbc8

40431244000200 has 96 divisors (see below), whose sum is σ = 132709612692960. Its totient is φ = 10147449472000.

The previous prime is 40431244000181. The next prime is 40431244000219. The reversal of 40431244000200 is 200044213404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40431244000181) and next prime (40431244000219).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981913526 + ... + 1981933925.

It is an arithmetic number, because the mean of its divisors is an integer number (1382391798885).

Almost surely, 240431244000200 is an apocalyptic number.

40431244000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431244000200 is an abundant number, since it is smaller than the sum of its proper divisors (92278368692760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40431244000200 is a wasteful number, since it uses less digits than its factorization.

40431244000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963847487 (or 3963847478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40431244000200 its reverse (200044213404), we get a palindrome (40631288213604).

The spelling of 40431244000200 in words is "forty trillion, four hundred thirty-one billion, two hundred forty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 3963847451 7927694902 11891542353 15855389804 19819237255 23783084706 31710779608 39638474510 47566169412 59457711765 67385406667 79276949020 95132338824 99096186275 118915423530 134770813334 158553898040 198192372550 202156220001 237830847060 269541626668 297288558825 336927033335 396384745100 404312440002 475661694120 539083253336 594577117650 673854066670 792769490200 808624880004 1010781100005 1189154235300 1347708133340 1617249760008 1684635166675 2021562200010 2378308470600 2695416266680 3369270333350 4043124400020 5053905500025 6738540666700 8086248800040 10107811000050 13477081333400 20215622000100 40431244000200